Pith Number

pith:CEJMTU4L

pith:2017:CEJMTU4LCPTXIAXTW3QSDKXGBC

not attested not anchored not stored refs pending

Nash and Wardrop equilibria in aggregative games with coupling constraints

Basilio Gentile, Dario Paccagnan, Francesca Parise, John Lygeros, Maryam Kamgarpour

arxiv:1702.08789 v2 · 2017-02-28 · cs.SY · cs.GT · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CEJMTU4LCPTXIAXTW3QSDKXGBC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:09:47.927853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1112c9d38b13e77402f3b6e121aae6089133b5e848381b31e054da3602ddccb4

Aliases

arxiv: 1702.08789 · arxiv_version: 1702.08789v2 · doi: 10.48550/arxiv.1702.08789 · pith_short_12: CEJMTU4LCPTX · pith_short_16: CEJMTU4LCPTXIAXT · pith_short_8: CEJMTU4L

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CEJMTU4LCPTXIAXTW3QSDKXGBC \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 1112c9d38b13e77402f3b6e121aae6089133b5e848381b31e054da3602ddccb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "faf9e32c9a3443625ebe9347b6d760ca4c1ff26bc965e02e5340aab1c6f0c251",
    "cross_cats_sorted": [
      "cs.GT",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2017-02-28T13:56:57Z",
    "title_canon_sha256": "1596b4aad5e17e7a005956e7e36b307e1ca55565ec60a5d9f539bd74837a5413"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.08789",
    "kind": "arxiv",
    "version": 2
  }
}